26116618720320 has 168 divisors, whose sum is σ = 89860633177536. Its totient is φ = 6962078917632.

The previous prime is 26116618720277. The next prime is 26116618720393. The reversal of 26116618720320 is 2302781661162.

26116618720320 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 6 + 618 + 7 + 2 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7003189 + ... + 10063691.

Almost surely, 2^{26116618720320} is an apocalyptic number.

26116618720320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26116618720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44930316588768).

26116618720320 is an abundant number, since it is smaller than the sum of its proper divisors (63744014457216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26116618720320 is a wasteful number, since it uses less digits than its factorization.

26116618720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063489 (or 3063476 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26116618720320 in words is "twenty-six trillion, one hundred sixteen billion, six hundred eighteen million, seven hundred twenty thousand, three hundred twenty".